Hybrid system stability and robustness verification using linear matrix inequalities. (English) Zbl 1017.93027

Pettersson, S.; Lennartson, B.

Int. J. Control 75, No. 16-17, 1335-1355 (2002).

The authors discuss the exponential stability and robustness of hybrid systems. Stability conditions are given. The authors have shown how the Lyapunov approach can be used to guarantee stability despite the presence of model uncertainties. Many examples are given to illustrate the theory.

Reviewer: Seenith Sivasundaram (Daytona Beach)

MSC:

93B12	Variable structure systems
93D20	Asymptotic stability in control theory
15A39	Linear inequalities of matrices
93D09	Robust stability

Keywords:

hybrid systems; stability; robustness; matrix inequalities

Software:

LMI toolbox

References:

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